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Finding the Fourth Proportional to 1,047.41, 1,570.30 and 527.14

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Solution

The fourth proportional to 1,047.41, 1,570.30 and 527.14 is: 790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.41 : 1,570.30 = 527.14 : x
  2. Step 2: Convert to fraction form
    1,047.41/1,570.30 = 527.14/x
  3. Step 3: Cross multiply
    1,047.41x = 1,570.30 × 527.14
  4. Step 4: Simplify right side
    1,047.41x = 827,767.94
  5. Step 5: Solve for x
    x = 827,767.94/1,047.41
  6. Step 6: Final answer
    x = 790.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.